3291057487872 has 756 divisors, whose sum is σ = 12083817616416. Its totient is φ = 853498920960.

The previous prime is 3291057487813. The next prime is 3291057487877. The reversal of 3291057487872 is 2787847501923.

3291057487872 is a `hidden beast` number, since 3 + 29 + 1 + 0 + 57 + 487 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3291057487877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5086641853 + ... + 5086642499.

It is an arithmetic number, because the mean of its divisors is an integer number (15983885736).

Almost surely, 2^{3291057487872} is an apocalyptic number.

3291057487872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3291057487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041908808208).

3291057487872 is an abundant number, since it is smaller than the sum of its proper divisors (8792760128544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3291057487872 is an frugal number, since it uses more digits than its factorization.

3291057487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 3291057487872 in words is "three trillion, two hundred ninety-one billion, fifty-seven million, four hundred eighty-seven thousand, eight hundred seventy-two".